A note on the existence of standing waves for one-dimensional wave-Schrödinger system Original Research Article

In this paper we study the existence of standing waves for one-dimensional wave-Schrödinger system. We use the Nehari method which is developed by Liu, Wang, and Wang [Z. Liu, Y. Wang, and Z.-Q. Wang, Solution for quasilinear Schrödinger equations via the Nehari Method, Comm. Partial Differential Equations 29 (2003) 879–901] to show this.